Answer:
The decimal form of [tex]\frac{1}{15} = 0.0666... = 0.0\overline{666}[/tex].
Step-by-step explanation:
We proceed to find the decimal form of [tex]\frac{1}{15}[/tex], whose description is found below:
1) Multiplying the numerator by 100 and dividing it by 15:
Partial result: 0.06, Remainder: 10
2) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.066, Remainder: 10
3) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.0666, Remainder: 10
Since the decimal number is a infinite and periodical, we conclude that decimal form of [tex]\frac{1}{15} = 0.0666... = 0.0\overline{666}[/tex].
